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Finding the Fourth Proportional to 34,132.98, 51,177.51 and 14,406.24

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Solution

The fourth proportional to 34,132.98, 51,177.51 and 14,406.24 is: 21,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,132.98 : 51,177.51 = 14,406.24 : x
  2. Step 2: Convert to fraction form
    34,132.98/51,177.51 = 14,406.24/x
  3. Step 3: Cross multiply
    34,132.98x = 51,177.51 × 14,406.24
  4. Step 4: Simplify right side
    34,132.98x = 737,275,491.66
  5. Step 5: Solve for x
    x = 737,275,491.66/34,132.98
  6. Step 6: Final answer
    x = 21,600.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.